MATHEMATICS PROBLEM SOLVER

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Monday, 6 February 2017

LOGARITHMS 1H

Find x if Log₂x + Log₂(3x-4) =2

Solution

Log₂x + Log₂(3x-4) =2

Log₂x(3x-4) =2

3x²-4x =2².

3x²-4x =4.

3x²-4x - 4=0

3x²+ 2x – 6x- 4=0 [Splitting -4x into 2x – 6x]

(3x²+ 2x) – (6x- 4)=0 [grouping the factors]

x(3x+ 2) – 2(3x+ 2)=0 [taking out common factors]

(3x+ 2)(x-2)=0

3x+ 2=0 OR x-2=0

3x = -2 OR x = 2

3 3

x = ^-2/3 OR x = 2

Hence x = ^-2/3 OR x = 2

TRY THIS…………………………

Find x if Log₂₅x + Log₂₅(x-24) =1

MATHEMATICS PROBLEM SOLVER

Monday, 6 February 2017

LOGARITHMS 1H

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